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Read in the following dictionary:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{10}   &  -3.0 & -9.00 x_{1} & -9.00 x_{2} &   & +  7.00 x_{4} & +  9.00 x_{5} & -7.00 x_{6} & +  3.00 x_{7} & +  5.00 x_{8} & -5.00 x_{9}\\
 x_{11}   &  -1.0 & -4.00 x_{1} & +  8.00 x_{2} & -5.00 x_{3} & -10.00 x_{4} & -6.00 x_{5} & +  1.00 x_{6} & -9.00 x_{7} & -8.00 x_{8} & -1.00 x_{9}\\
 x_{12}   &  1.0 & -10.00 x_{1} & +  3.00 x_{2} & +  9.00 x_{3} & +  2.00 x_{4} & +  4.00 x_{5} & -6.00 x_{6} & -6.00 x_{7} & + 10.00 x_{8} & -6.00 x_{9}\\
 x_{13}   &  0.0 & +  9.00 x_{1} & +  1.00 x_{2} & -7.00 x_{3} & -7.00 x_{4} & +  7.00 x_{5} & -4.00 x_{6} & +  3.00 x_{7} & +  7.00 x_{8} & +  1.00 x_{9}\\
 x_{14}   &  2.0 & +  6.00 x_{1} & -5.00 x_{2} & +  2.00 x_{3} & +  3.00 x_{4} & + 10.00 x_{5} & -1.00 x_{6} & -3.00 x_{7} & -10.00 x_{8} &   \\
 x_{15}   &  3.0 & +  1.00 x_{1} & +  2.00 x_{2} & +  3.00 x_{3} & -8.00 x_{4} & -8.00 x_{5} & +  6.00 x_{6} & +  3.00 x_{7} & +  3.00 x_{8} & + 10.00 x_{9}\\
 x_{16}   &  -3.0 & -4.00 x_{1} & -9.00 x_{2} & +  9.00 x_{3} & -7.00 x_{4} & -4.00 x_{5} & +  6.00 x_{6} &   & -3.00 x_{8} & -9.00 x_{9}\\
 x_{17}   &  -2.0 & -8.00 x_{1} & -4.00 x_{2} & +  9.00 x_{3} & +  4.00 x_{4} & +  5.00 x_{5} & +  1.00 x_{6} &   & -3.00 x_{8} &   \\
\hline
z    &  0.0 & +  4.00 x_{1} & +  3.00 x_{2} & +  2.00 x_{3} & -5.00 x_{4} & +  2.00 x_{5} & -1.00 x_{6} & -1.00 x_{7} & +  1.00 x_{8} & +  2.00 x_{9}\\
\end{array}\]
\subsection{Initialization Phase: Dual Problem Solving}
New Objective in primal was changed to : \[ \max\ \sum_{j=1}^{9}\ - x_j \] 
Primal variable $x_j$ corresponds to dual variable $y_j$ for $j = 1,\ldots,17$
Dual Dictionary (with objective changed is): 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  1.0 & +  9.00 y_{10} & +  4.00 y_{11} & + 10.00 y_{12} & -9.00 y_{13} & -6.00 y_{14} & -1.00 y_{15} & +  4.00 y_{16} & +  8.00 y_{17}\\
 y_{2}   &  1.0 & +  9.00 y_{10} & -8.00 y_{11} & -3.00 y_{12} & -1.00 y_{13} & +  5.00 y_{14} & -2.00 y_{15} & +  9.00 y_{16} & +  4.00 y_{17}\\
 y_{3}   &  1.0  &   & +  5.00 y_{11} & -9.00 y_{12} & +  7.00 y_{13} & -2.00 y_{14} & -3.00 y_{15} & -9.00 y_{16} & -9.00 y_{17}\\
 y_{4}   &  1.0 & -7.00 y_{10} & + 10.00 y_{11} & -2.00 y_{12} & +  7.00 y_{13} & -3.00 y_{14} & +  8.00 y_{15} & +  7.00 y_{16} & -4.00 y_{17}\\
 y_{5}   &  1.0 & -9.00 y_{10} & +  6.00 y_{11} & -4.00 y_{12} & -7.00 y_{13} & -10.00 y_{14} & +  8.00 y_{15} & +  4.00 y_{16} & -5.00 y_{17}\\
 y_{6}   &  1.0 & +  7.00 y_{10} & -1.00 y_{11} & +  6.00 y_{12} & +  4.00 y_{13} & +  1.00 y_{14} & -6.00 y_{15} & -6.00 y_{16} & -1.00 y_{17}\\
 y_{7}   &  1.0 & -3.00 y_{10} & +  9.00 y_{11} & +  6.00 y_{12} & -3.00 y_{13} & +  3.00 y_{14} & -3.00 y_{15} &    &   \\
 y_{8}   &  1.0 & -5.00 y_{10} & +  8.00 y_{11} & -10.00 y_{12} & -7.00 y_{13} & + 10.00 y_{14} & -3.00 y_{15} & +  3.00 y_{16} & +  3.00 y_{17}\\
 y_{9}   &  1.0 & +  5.00 y_{10} & +  1.00 y_{11} & +  6.00 y_{12} & -1.00 y_{13} &   & -10.00 y_{15} & +  9.00 y_{16} &   \\
\hline
z    &  -0 & +  3.00 y_{10} & +  1.00 y_{11} & -1.00 y_{12} &   & -2.00 y_{14} & -3.00 y_{15} & +  3.00 y_{16} & +  2.00 y_{17}\\
\end{array}\]
Unbounded Dictionary!
Initialization returns unbounded dual dictionary after 3 pivots
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  12.0 & -6.00 y_{5} & -5.00 y_{2} & -29.00 y_{12} & -56.00 y_{13} & -41.00 y_{14} & + 37.00 y_{15} & + 73.00 y_{16} & -2.00 y_{17}\\
 y_{11}   &  1.0 & -0.50 y_{5} & -0.50 y_{2} & -3.50 y_{12} & -4.00 y_{13} & -2.50 y_{14} & +  3.00 y_{15} & +  6.50 y_{16} & -0.50 y_{17}\\
 y_{3}   &  6.0 & -2.50 y_{5} & -2.50 y_{2} & -26.50 y_{12} & -13.00 y_{13} & -14.50 y_{14} & + 12.00 y_{15} & + 23.50 y_{16} & -11.50 y_{17}\\
 y_{4}   &  5.55555555556 & -1.89 y_{5} & -2.67 y_{2} & -17.56 y_{12} & -8.89 y_{13} & -8.56 y_{14} & + 17.78 y_{15} & + 38.56 y_{16} & -2.78 y_{17}\\
 y_{10}   &  0.777777777778 & -0.44 y_{5} & -0.33 y_{2} & -2.78 y_{12} & -3.44 y_{13} & -2.78 y_{14} & +  2.89 y_{15} & +  4.78 y_{16} & -0.89 y_{17}\\
 y_{6}   &  5.44444444444 & -2.61 y_{5} & -1.83 y_{2} & -9.94 y_{12} & -16.11 y_{13} & -15.94 y_{14} & + 11.22 y_{15} & + 20.94 y_{16} & -6.72 y_{17}\\
 y_{7}   &  7.66666666667 & -3.17 y_{5} & -3.50 y_{2} & -17.17 y_{12} & -28.67 y_{13} & -11.17 y_{14} & + 15.33 y_{15} & + 44.17 y_{16} & -1.83 y_{17}\\
 y_{8}   &  5.11111111111 & -1.78 y_{5} & -2.33 y_{2} & -24.11 y_{12} & -21.78 y_{13} & +  3.89 y_{14} & +  6.56 y_{15} & + 31.11 y_{16} & +  3.44 y_{17}\\
 y_{9}   &  5.88888888889 & -2.72 y_{5} & -2.17 y_{2} & -11.39 y_{12} & -22.22 y_{13} & -16.39 y_{14} & +  7.44 y_{15} & + 39.39 y_{16} & -4.94 y_{17}\\
\hline
z    &  3.33333333333 & -1.83 y_{5} & -1.50 y_{2} & -12.83 y_{12} & -14.33 y_{13} & -12.83 y_{14} & +  8.67 y_{15} & + 23.83 y_{16} & -1.17 y_{17}\\
\end{array}\]
Original Problem is Infeasible
Infeasible Problem.. Early Exit
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